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Finding the Fourth Proportional to 15,196.19, 20,970.77 and 8,481.82

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Solution

The fourth proportional to 15,196.19, 20,970.77 and 8,481.82 is: 11,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.19 : 20,970.77 = 8,481.82 : x
  2. Step 2: Convert to fraction form
    15,196.19/20,970.77 = 8,481.82/x
  3. Step 3: Cross multiply
    15,196.19x = 20,970.77 × 8,481.82
  4. Step 4: Simplify right side
    15,196.19x = 177,870,185.05
  5. Step 5: Solve for x
    x = 177,870,185.05/15,196.19
  6. Step 6: Final answer
    x = 11,704.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.